What is the extreme f(x)=2x^3-6x^2-90x+1 ?

The extreme f(x)=2x^3-6x^2-90x+1 is Maximum(-3,163),Minimum(5,-349)

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extreme f(x)=2x^3-6x^2-90x+1

extreme points

f (x) = 2 x^{3} - 6 x^{2} - 90 x + 1

Maximum (- 3, 163), Minimum (5, - 349)

Solution steps

f^{'} (x) = 6 x^{2} - 12 x - 90

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 3

into

2 x^{3} - 6 x^{2} - 90 x + 1 : 163

Maximum (- 3, 163)

Plug

x = 5

into

2 x^{3} - 6 x^{2} - 90 x + 1 : - 349

Minimum (5, - 349)

Maximum (- 3, 163), Minimum (5, - 349)

f (x) = (11 - x) (x + 1)^{2}

f (x, y) = 400 - 16 x^{2} - 49 y^{2}

f (x) = 4 x^{3} + 9 x^{2} - 12 x + 5

f (x) = x^{3} - 27 x + 5

f (x) = 6 x + \frac{384}{x}

What is the extreme f(x)=2x^3-6x^2-90x+1 ?
The extreme f(x)=2x^3-6x^2-90x+1 is Maximum(-3,163),Minimum(5,-349)